Serviceberries, aronia, western crabapple, and honeyberry are all said to like being wet (I've planted the first two where it's really soggy, but not standing water, and they seem to be doing well). I also have salmonberries and blackberries growing happily in my wetlands. Other shrubs I see growing in my wetlands are Douglas Spirea (
Spiraea douglasii, not edible, but the insects seem to like it), elderberry, sitka willow (medicinal? gets up to 26 feet tall, but I usually see it only about 8 feet tall), stink currents (other currents may do well, but my property only came with these!) and thimbleberry.
Here's a PDF you might find useful:
http://centralwashingtonfirerecovery.info/2012/wp-content/uploads/NRCS/WetlandPlantings.pdf
The King County (down in Washington) website has a plant finder, too, and comes up with some good results when searching for "shrub" and "wet":
https://green2.kingcounty.gov/gonative/Plant.aspx?Act=search. Here's some of the one's on the list. I bolded the ones I know to be edible. I wonder about the Nootka Rose and blackcap raspberry liking standing water, as they grow naturally on my property in drier places:
bald hip rose, black cap raspberry, black gooseberry, bog laurel, bog rosemary, devil's club (the name really fits it...), highbush cranberry, nootka rose, Pacific ninebark, red-osier dogwood (supposedly edible roots, shoots, stems and seeds), salmonberry, douglas' spiraea/hardhack, stink currant (tastes like pine), subalpine spirea, swamp rose, sweet gale, tall Oregon grape, twinberry